Each row of the following table lists two possible packs. A pack is included if it has a valence between 2 and 6, and if it contains between 28 and 126 cards. Larger and smaller packs are certainly possible, but if larger will be unwieldy, and if smaller will be uninteresting. Even packs with a valence of 5 or 6 might be regarded as too complicated. The exclamation mark indicates the factorial function.
| Descriptors of two congruent packs | Quantity of cards | |
|---|---|---|
| Indices repeated | Indices not repeated | |
| 6-6 | 7-6 | 8! ÷ (6! × 2!) = 28 |
| 7-7 | 8-7 | 9! ÷ (7! × 2!) = 36 |
| 8-8 | 9-8 | 10! ÷ (8! × 2!) = 45 |
| 9-9 | 10-9 | 11! ÷ (9! × 2!) = 55 |
| 10-10 | 11-10 | 12! ÷ (10! × 2!) = 66 |
| 11-11 | 12-11 | 13! ÷ (11! × 2!) = 78 |
| 12-12 | 13-12 | 14! ÷ (12! × 2!) = 91 |
| 13-13 | 14-13 | 15! ÷ (13! × 2!) = 105 |
| 14-14 | 15-14 | 16! ÷ (14! × 2!) = 120 |
| 4-4-4 | 6-5-4 | 7! ÷ (4! × 3!) = 35 |
| 5-5-5 | 7-6-5 | 8! ÷ (5! × 3!) = 56 |
| 6-6-6 | 8-7-6 | 9! ÷ (6! × 3!) = 84 |
| 7-7-7 | 9-8-7 | 10! ÷ (7! × 3!) = 120 |
| 3-3-3-3 | 6-5-4-3 | 7! ÷ (3! × 4!) = 35 |
| 4-4-4-4 | 7-6-5-4 | 8! ÷ (4! × 4!) = 70 |
| 5-5-5-5 | 8-7-6-5 | 9! ÷ (5! × 4!) = 126 |
| 3-3-3-3-3 | 7-6-5-4-3 | 8! ÷ (3! × 5!) = 56 |
| 4-4-4-4-4 | 8-7-6-5-4 | 9! ÷ (4! × 5!) = 126 |
| 2-2-2-2-2-2 | 7-6-5-4-3-2 | 8! ÷ (2! × 6!) = 28 |
| 3-3-3-3-3-3 | 8-7-6-5-4-3 | 9! ÷ (3! × 6!) = 84 |
| in general | (floor + valence)! ÷ (floor! × valence!) | |